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Global Existence of Smooth Solutions for the Diffusion Approximation Model of General Gas in Radiation Hydrodynamics 辐射流体力学中一般气体扩散近似模型光滑解的全局存在性
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-2126-6
Hyejong Kim, Hakho Hong, Jongsung Kim
{"title":"Global Existence of Smooth Solutions for the Diffusion Approximation Model of General Gas in Radiation Hydrodynamics","authors":"Hyejong Kim,&nbsp;Hakho Hong,&nbsp;Jongsung Kim","doi":"10.1007/s10114-023-2126-6","DOIUrl":"10.1007/s10114-023-2126-6","url":null,"abstract":"<div><p>In this paper, we consider the 3-D Cauchy problem for the diffusion approximation model in radiation hydrodynamics. The existence and uniqueness of global solutions is proved in perturbation framework, for more general gases including ideal polytropic gas. Moreover, the optimal time decay rates are obtained for higher-order spatial derivatives of density, velocity, temperature, and radiation field.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Turán Number of the Family Consisting of a Blow-up of a Cycle and a Blow-up of a Star 由一个环的爆破和一个星的爆破组成的族的Turán数
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-1297-5
Zhi Wei Wu, Li Ying Kang
{"title":"Turán Number of the Family Consisting of a Blow-up of a Cycle and a Blow-up of a Star","authors":"Zhi Wei Wu,&nbsp;Li Ying Kang","doi":"10.1007/s10114-023-1297-5","DOIUrl":"10.1007/s10114-023-1297-5","url":null,"abstract":"<div><p>Let <span>({cal F} = { {H_1}, ldots ,{H_k}} ,,(k ge 1))</span> be a family of graphs. The Turán number of the family <span>({cal F})</span> is the maximum number of edges in an <i>n</i>-vertex {<i>H</i><sub>1</sub>, …, <i>H</i><sub>k</sub>}-free graph, denoted by ex(<i>n</i>, <span>({cal F})</span>) or ex(<i>n</i>, {<i>H</i><sub>1</sub>,<i>H</i><sub>2</sub>, … <i>H</i><sub><i>k</i></sub>}). The blow-up of a graph <i>H</i> is the graph obtained from <i>H</i> by replacing each edge in <i>H</i> by a clique of the same size where the new vertices of the cliques are all different. In this paper we determine the Turán number of the family consisting of a blow-up of a cycle and a blow-up of a star in terms of the Turán number of the family consisting of a cycle, a star and linear forests with <i>k</i> edges.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on Some Compact Symplectic Solvmanifolds 关于一些紧致辛解流形的注记
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-0416-7
Qiang Tan, Adriano Tomassini
{"title":"Remarks on Some Compact Symplectic Solvmanifolds","authors":"Qiang Tan,&nbsp;Adriano Tomassini","doi":"10.1007/s10114-023-0416-7","DOIUrl":"10.1007/s10114-023-0416-7","url":null,"abstract":"<div><p>We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients <i>M</i> = Γ<i>G</i> of a simply-connected solvable Lie group <i>G</i> by a lattice Γ, admitting a symplectic structure.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Oracle Inequality for Sparse Trace Regression Models with Exponential β-mixing Errors 具有指数β-混合误差的稀疏跟踪回归模型的Oracle不等式
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-2153-3
Ling Peng, Xiang Yong Tan, Pei Wen Xiao, Zeinab Rizk, Xiao Hui Liu
{"title":"Oracle Inequality for Sparse Trace Regression Models with Exponential β-mixing Errors","authors":"Ling Peng,&nbsp;Xiang Yong Tan,&nbsp;Pei Wen Xiao,&nbsp;Zeinab Rizk,&nbsp;Xiao Hui Liu","doi":"10.1007/s10114-023-2153-3","DOIUrl":"10.1007/s10114-023-2153-3","url":null,"abstract":"<div><p>In applications involving, e.g., panel data, images, genomics microarrays, etc., trace regression models are useful tools. To address the high-dimensional issue of these applications, it is common to assume some sparsity property. For the case of the parameter matrix being simultaneously low rank and elements-wise sparse, we estimate the parameter matrix through the least-squares approach with the composite penalty combining the nuclear norm and the <i>l</i><sub>1</sub> norm. We extend the existing analysis of the low-rank trace regression with i.i.d. errors to exponential <i>β</i>-mixing errors. The explicit convergence rate and the asymptotic properties of the proposed estimator are established. Simulations, as well as a real data application, are also carried out for illustration.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integration Operators on Spaces of Dirichlet Series Dirichlet级数空间上的积分算子
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-2442-x
Jia Le Chen, Mao Fa Wang
{"title":"Integration Operators on Spaces of Dirichlet Series","authors":"Jia Le Chen,&nbsp;Mao Fa Wang","doi":"10.1007/s10114-023-2442-x","DOIUrl":"10.1007/s10114-023-2442-x","url":null,"abstract":"<div><p>We first study the Volterra operator <i>V</i> acting on spaces of Dirichlet series. We prove that <i>V</i> is bounded on the Hardy space <span>({cal H}_0^p)</span> for any 0 &lt; <i>p</i> ≤ ∞, and is compact on <span>({cal H}_0^p)</span> for 1 &lt;<i>p</i> ≤ ∞. Furthermore, we show that <i>V</i> is cyclic but not supercyclic on <span>({cal H}_0^p)</span> for any 0 &lt;<i>p</i>&lt; ∞. Corresponding results are also given for <i>V</i> acting on Bergman spaces <span>({cal H}_{w,0}^p)</span>. We then study the Volterra type integration operators <i>T</i><sub><i>g</i></sub>. We prove that if <i>T</i><sub><i>g</i></sub> is bounded on the Hardy space <span>({{cal H}^p})</span>, then it is bounded on the Bergman space <span>({cal H}_w^p)</span>.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Commuting Toeplitz Operators on Fock–Sobolev Spaces of Negative Orders 负阶Fock–Sobolev空间上的交换Toeplitz算子
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-10-15 DOI: 10.1007/s10114-023-1541-z
Hong Rae Cho, Han-Wool Lee
{"title":"Commuting Toeplitz Operators on Fock–Sobolev Spaces of Negative Orders","authors":"Hong Rae Cho,&nbsp;Han-Wool Lee","doi":"10.1007/s10114-023-1541-z","DOIUrl":"10.1007/s10114-023-1541-z","url":null,"abstract":"<div><p>In the setting of Fock–Sobolev spaces of positive orders over the complex plane, Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial, then the other must also be radial. In this paper, we extend this result to the Fock–Sobolev space of negative order using the Fock-type space with a confluent hypergeometric function.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights 正则权诱导的加权Bergman空间的Toeplitz算子和Carleson测度
3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-09-15 DOI: 10.1007/s10114-023-2396-z
Jun Tao Du, Song Xiao Li, Hasi Wulan
{"title":"Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights","authors":"Jun Tao Du, Song Xiao Li, Hasi Wulan","doi":"10.1007/s10114-023-2396-z","DOIUrl":"https://doi.org/10.1007/s10114-023-2396-z","url":null,"abstract":"","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135438137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Inverses and Units in a Unitary Ring 酉环上的广义逆和单位
3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-09-15 DOI: 10.1007/s10114-023-2196-5
Yu Kun Zhou, Jian Long Chen
{"title":"Generalized Inverses and Units in a Unitary Ring","authors":"Yu Kun Zhou, Jian Long Chen","doi":"10.1007/s10114-023-2196-5","DOIUrl":"https://doi.org/10.1007/s10114-023-2196-5","url":null,"abstract":"","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135484586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Unit Root Test for an AR(1) Process with AR Errors by Using Random Weighted Bootstrap 基于随机加权Bootstrap的AR(1)误差过程的单位根检验
IF 0.7 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-09-15 DOI: 10.1007/s10114-023-1535-x
Xiao Hui Liu, Ya Wen Fan, Yu Zi Liu, Shi Hua Luo
{"title":"A Unit Root Test for an AR(1) Process with AR Errors by Using Random Weighted Bootstrap","authors":"Xiao Hui Liu,&nbsp;Ya Wen Fan,&nbsp;Yu Zi Liu,&nbsp;Shi Hua Luo","doi":"10.1007/s10114-023-1535-x","DOIUrl":"10.1007/s10114-023-1535-x","url":null,"abstract":"<div><p>A great deal of economic problems are related to detecting the stability of time series data, where the main interest is in the unit root test. In this paper, we consider the unit root testing problem with errors being long-memory processes with the GARCH structure. A new test statistic is developed by using the random weighted bootstrap method. It turns out that the proposed statistic has a chi-squared distribution asymptotically regardless of the process being stationary or nonstationary, and with or without an intercept term. The simulation results show that the statistic has a desired finite sample performance in terms of both size and power. A real data application is also given relying on the inflation rate data of 17 countries.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50031259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order 无限阶亚纯函数差分算子的唯一性
3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2023-09-15 DOI: 10.1007/s10114-023-2300-x
Hui Li, Ming Liang Fang, Xiao Yao
{"title":"Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order","authors":"Hui Li, Ming Liang Fang, Xiao Yao","doi":"10.1007/s10114-023-2300-x","DOIUrl":"https://doi.org/10.1007/s10114-023-2300-x","url":null,"abstract":"","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135438303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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